GCF of 2592/606, 8288/8952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2592/606, 8288/8952 i.e 32/904152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2592/606, 8288/8952.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2592/606,8288/8952?
Given fractions are 2592/606,8288/8952
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2592/606,8288/8952, numerators are 2592,8288
Denominators are 606,8952
The GCF of 2592,8288 is 32 .
LCM of 606,8952 is 904152.
The greatest common factor of 2592/606,8288/8952 = [GCF of 2592,8288]/[LCM of 606,8952]= 32/904152
Therefore, the GCF of 2592/606,8288/8952 is 32/904152.
To find the highest common factor of 2592,8288, we have to find the factors of both numbers and list the highest common factor.
The factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592
The factors of 8288 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288
The HCF of 2592,8288 is 32.
Lets's calculate GCF of 2592,8288
| 2 | 2592, 8288 |
| 2 | 1296, 4144 |
| 2 | 648, 2072 |
| 2 | 324, 1036 |
| 2 | 162, 518 |
| 81, 259 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 2592,8288 By Matching Biggest Common Factor Method
Now, list down the factors of 2592
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,288,324,432,648,864,1296,2592
Now, list down the factors of 8288
:1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288
Greatest Common Factor
We found the factors 2592,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 2592,8288 is 32.
Lets's calculate LCM of 606,8952
| 2 | 606, 8952 |
| 3 | 303, 4476 |
| 101, 1492 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 1492 = 904152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/904152
Therefore, the GCF of Fractions 2592/606,8288/8952 is 32/904152
Least Common Multiple of 606,8952 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 606,8952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,8952) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(606,8952) x common factors =6 x 1 = 6
LCM(606,8952) = ( 606 × 8952 ) / 6
LCM(606,8952) = 5424912 / 6
LCM(606,8952) = 904152
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FAQs on GCF of Fractions of 2592/606, 8288/8952
1. What is the HCF of 2592,8288?
The HCF of 2592,8288 is 32
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2592/606, 8288/8952?
Answer: GCF of Numerators as per given numbers 2592/606, 8288/8952 is
GCF of Numerators i.e. for 2592,8288 is 32
LCM of denominators i.e. for 606,8952 is 904152.
Thus, GCF of Fractions is 32/904152.Finally, GCF of Fractions for 2592/606, 8288/8952 is 32/904152.